284641056 has 144 divisors (see below), whose sum is σ = 930279168. Its totient is φ = 80870400.

The previous prime is 284641051. The next prime is 284641069. The reversal of 284641056 is 650146482.

284641056 is a `hidden beast` number, since 2 + 8 + 4 + 641 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 284641056.

It is not an unprimeable number, because it can be changed into a prime (284641051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546076 + ... + 546596.

It is an arithmetic number, because the mean of its divisors is an integer number (6460272).

Almost surely, 2^284641056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284641056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465139584).

284641056 is an abundant number, since it is smaller than the sum of its proper divisors (645638112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

284641056 is a wasteful number, since it uses less digits than its factorization.

284641056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 284641056 is about 16871.3086629342. The cubic root of 284641056 is about 657.8080450659.

The spelling of 284641056 in words is "two hundred eighty-four million, six hundred forty-one thousand, fifty-six".